10400464 has 20 divisors (see below), whose sum is σ = 21336804. Its totient is φ = 4894208.

The previous prime is 10400449. The next prime is 10400479. The reversal of 10400464 is 46400401.

10400464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10400449) and next prime (10400479).

It can be written as a sum of positive squares in 2 ways, for example, as 6760000 + 3640464 = 2600^2 + 1908^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18847 + ... + 19390.

Almost surely, 2^10400464 is an apocalyptic number.

It is an amenable number.

10400464 is an abundant number, since it is smaller than the sum of its proper divisors (10936340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10400464 is a wasteful number, since it uses less digits than its factorization.

10400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38262 (or 38256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10400464 is about 3224.9750386631. The cubic root of 10400464 is about 218.2818227582.

Adding to 10400464 its reverse (46400401), we get a palindrome (56800865).

The spelling of 10400464 in words is "ten million, four hundred thousand, four hundred sixty-four".